10001133313301 has 48 divisors (see below), whose sum is σ = 11449156953600. Its totient is φ = 8714365710336.

The previous prime is 10001133313271. The next prime is 10001133313343. The reversal of 10001133313301 is 10331333110001.

It is not a de Polignac number, because 10001133313301 - 2³⁰ = 10000059571477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001133313901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733590581 + ... + 733604213.

It is an arithmetic number, because the mean of its divisors is an integer number (238524103200).

Almost surely, 2^{10001133313301} is an apocalyptic number.

It is an amenable number.

10001133313301 is a deficient number, since it is larger than the sum of its proper divisors (1448023640299).

10001133313301 is a wasteful number, since it uses less digits than its factorization.

10001133313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16137 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 10001133313301 its reverse (10331333110001), we get a palindrome (20332466423302).

The spelling of 10001133313301 in words is "ten trillion, one billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred one".